Normal Curves on a Smooth Immersed Surface

Absos Ali Shaikh (), Mohamd Saleem Lone () and Pinaki Ranjan Ghosh ()
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Absos Ali Shaikh: The University of Burdwan, Golapbag
Mohamd Saleem Lone: Tata Institute of Fundamental Research
Pinaki Ranjan Ghosh: The University of Burdwan, Golapbag

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1343-1355

Abstract: Abstract The aim of this paper is to investigate a sufficient condition for the invariance of a normal curve on a smooth immersed surface under isometry. We also find the deviations of the tangential and normal components of the curve with respect to the given isometry.

Keywords: Isometry; normal curve; osculating curve; rectifying curve; 53A04; 53A05; 53A15 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0469-6

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